Generalized Structured Component Analysis : A Component-Based Approach to Structural Equation Modeling book cover
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Generalized Structured Component Analysis
A Component-Based Approach to Structural Equation Modeling




ISBN 9781466592940
Published December 11, 2014 by Chapman and Hall/CRC
342 Pages 60 B/W Illustrations

 
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Book Description

Winner of the 2015 Sugiyama Meiko Award (Publication Award) of the Behaviormetric Society of Japan

Developed by the authors, generalized structured component analysis is an alternative to two longstanding approaches to structural equation modeling: covariance structure analysis and partial least squares path modeling. Generalized structured component analysis allows researchers to evaluate the adequacy of a model as a whole, compare a model to alternative specifications, and conduct complex analyses in a straightforward manner.

Generalized Structured Component Analysis: A Component-Based Approach to Structural Equation Modeling provides a detailed account of this novel statistical methodology and its various extensions. The authors present the theoretical underpinnings of generalized structured component analysis and demonstrate how it can be applied to various empirical examples. The book enables quantitative methodologists, applied researchers, and practitioners to grasp the basic concepts behind this new approach and apply it to their own research.

The book emphasizes conceptual discussions throughout while relegating more technical intricacies to the chapter appendices. Most chapters compare generalized structured component analysis to partial least squares path modeling to show how the two component-based approaches differ when addressing an identical issue. The authors also offer a free, online software program (GeSCA) and an Excel-based software program (XLSTAT) for implementing the basic features of generalized structured component analysis.

Table of Contents

Introduction
Structural Equation Modeling
Traditional Approaches to Structural Equation Modeling
Why Generalized Structured Component Analysis?

Generalized Structured Component Analysis
Model Specification
Estimation of Model Parameters
Model Evaluation
Example
Other Related Component-Based Methods
Appendix The Alternating Least-Squares Algorithm for Generalized Structured Component Analysis
Appendix Extensions of the Least-Squares Criterion for Generalized Structured Component Analysis
Appendix A Partial Least Squares Path Modeling Algorithm

Basic Extensions of Generalized Structured Component Analysis
Constrained Analysis
Higher-Order Latent Variables
Multiple Group Analysis
Total and Indirect Effects
Missing Data
Summary
Appendix The Imputation Phase of the Alternating Least-Squares Algorithm for Estimating Missing Observations

Fuzzy Clusterwise Generalized Structured Component Analysis
Fuzzy Clustering
Fuzzy Clusterwise Generalized Structured Component Analysis
Example: Clusterwise Latent Growth Curve Modeling of Alcohol Use among Adolescents
Summary
Appendix The Alternating Least-Squares Algorithm for Fuzzy Clusterwise Generalized Structured Component Analysis
Appendix Regularized Fuzzy Clusterwise Generalized Structured Component Analysis

Nonlinear Generalized Structured Component Analysis
Introduction
Nonlinear Generalized Structured Component Analysis
Examples
Summary
Appendix Algorithms for Kruskal’s (1964a, b) Least-Squares Monotonic Transformations

Generalized Structured Component Analysis with Latent Interactions
Generalized Structured Component Analysis with Latent Interactions
Probing of Latent Interaction Effects
Testing Latent Interaction Effects in Partial Least Squares Path Modeling
Example
Summary
Appendix The Alternating Least-Squares Algorithm for Generalized Structured Component Analysis with Latent Interactions

Multilevel Generalized Structured Component Analysis
Model Specification
Parameter Estimation
Example: The ACSI Data
Summary
Appendix The Alternating Least-Squares Algorithm for Two-Level Multilevel Generalized Structured Component Analysis
Appendix The Three-Level Generalized Structured Component Analysis Model

Regularized Generalized Structured Component Analysis
Ridge Regression
Regularized Generalized Structured Component Analysis
Example
Summary
Appendix The Alternating Regularized Least-Squares Algorithm for Regularized Generalized Structured Component Analysis

Lasso Generalized Structured Component Analysis
Lasso Regression
Lasso Generalized Structured Component Analysis
Example: The Company-Level ACSI Data
Summary
Appendix The Alternating Coordinate-Descent Algorithm for Lasso Generalized Structured Component Analysis

Dynamic Generalized Structured Component Analysis
Introduction
The Method
Examples of Application to Real Functional Neuroimaging Data
Summary and Discussion
Appendix Algorithm for Dynamic Generalized Structured Component Analysis

Functional Generalized Structured Component Analysis
Functional Generalized Structured Component Analysis
A Related Method: Functional Extended Redundancy Analysis
Examples
Summary
Appendix The Alternating Regularized Least-Squares Algorithm for Functional Generalized Structured Component Analysis

References

Index

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Author(s)

Biography

Heungsun Hwang, Yoshio Takane

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Author - Yoshio  Takane
Author

Yoshio Takane

Professor, University of Victoria
Victoria, British Columbia, Canada

Learn more about Yoshio Takane »